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221012023312001 = 89127131601248357
BaseRepresentation
bin110010010000001001011111…
…001000111111111010000001
31001222112112122220111112010002
4302100021133020333322001
5212432030110431441001
62102015304415245345
764360406653504265
oct6220113710777201
91058475586445102
10221012023312001
116446a74442a569
122095573b519855
139642462775a3c
143c810790540a5
151a8406aeb446b
hexc9025f23fe81

221012023312001 has 32 divisors (see below), whose sum is σ = 227353191690240. Its totient is φ = 214794163584000.

The previous prime is 221012023311923. The next prime is 221012023312043. The reversal of 221012023312001 is 100213320210122.

It is a cyclic number.

It is not a de Polignac number, because 221012023312001 - 222 = 221012019117697 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (221012023312501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 889772315 + ... + 890020671.

It is an arithmetic number, because the mean of its divisors is an integer number (7104787240320).

Almost surely, 2221012023312001 is an apocalyptic number.

It is an amenable number.

221012023312001 is a deficient number, since it is larger than the sum of its proper divisors (6341168378239).

221012023312001 is a wasteful number, since it uses less digits than its factorization.

221012023312001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249305.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 221012023312001 its reverse (100213320210122), we get a palindrome (321225343522123).

The spelling of 221012023312001 in words is "two hundred twenty-one trillion, twelve billion, twenty-three million, three hundred twelve thousand, one".

Divisors: 1 89 127 131 601 11303 11659 16637 53489 76327 78731 248357 1480693 6793103 7007059 9998837 22103773 31541339 32534767 149262557 889896493 2807179171 2895594263 4131915409 13284367573 18956344739 19553394967 367740471401 1687114681771 1740252152063 2483281160809 221012023312001